In a single slit diffraction experiment, the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) For a single slit diffraction experiment, the condition for the $n^{th}$ minimum is given by $d \sin 	heta = n \lambda$.For the first minimum $(n

Vedclass · Accepted Answer

$4400$

Vedclass · Answer

(A) For a single slit diffraction experiment, the condition for the $n^{th}$ minimum is given by $d \sin 	heta = n \lambda$.For the first minimum $(n=1)$ of red light $(\lambda_R = 660 \, nm)$, the condition is $d \sin 	heta = \lambda_R$.The condition for the $n^{th}$ secondary maximum is given by $d \sin 	heta = (n + \frac{1}{2}) \lambda'$.For the first secondary maximum $(n=1)$, the condition is $d \sin 	heta = (1 + \frac{1}{2}) \lambda' = \frac{3}{2} \lambda'$.Since the first minimum of red light coincides with the first secondary maximum of $\lambda'$, we equate the two expressions:$\lambda_R = \frac{3}{2} \lambda'$$\lambda' = \frac{2}{3} \lambda_R = \frac{2}{3} 	imes 660 \, nm = 440 \, nm$.Converting to $\mathring{A}$: $440 \, nm = 4400 \, \mathring{A}$.

In a single slit diffraction experiment, the first minimum for red light $(\lambda = 660 \, nm)$ coincides with the first secondary maximum of some other wavelength $\lambda'$. The value of $\lambda'$ is ...... $\mathring{A}$.

Similar Questions

If $C, R, L$ and $I$ denote capacity,resistance,inductance and electric current respectively,the quantities having the same dimensions of time are :
$(1)$ $C R$
$(2)$ $\frac{L}{R}$
$(3)$ $\sqrt{L C}$
$(4)$ $L I^2$

$A$ complex has a composition corresponding to the formula $CoBr_2Cl \cdot 4NH_3$. What is the structural formula if conductance measurements show two ions per formula unit? Silver nitrate solution gives an immediate precipitate of $AgCl$ but no $AgBr$.

Select the incorrect statement.

Photosynthetic bacteria have pigments in

$A$ particle moves along the curve $y=x^2+2x$. The point on the curve such that the $x$ and $y$ coordinates of the particle change at the same rate is

Vedclass Test Series

Exam Paper Generator

Online Exam Module